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Finding the Third Proportional to 52.19 and 76.77

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Solution

The third proportional to 52.19 and 76.77 is: 112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 76.77 = 76.77 : x
  2. Step 2: Convert to fraction form
    52.19/76.77 = 76.77/x
  3. Step 3: Cross multiply
    52.19x = 76.77 × 76.77
  4. Step 4: Simplify right side
    52.19x = 5,892.96
  5. Step 5: Solve for x
    x = 5,892.96/52.19
  6. Step 6: Final answer
    x = 112.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.